ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

if A = (x/x€ Q˄ 0 < x < 1}, the A is

• Infinite set A
• Finite set B
• Set of rational numbers C
• Set of real numbers D

• 
  A
• 
  B
• 
  C
• None of these D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D

If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of

• Irrational numbers A
• Even numbers B
• Rational numbers C
• Whole numbers D

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

• Addition A
• Multiplication B
• Division C
• Both addition and multiplication D

The set of all positive even integers is

• Not a group A
• A group w.r.t subtraction B
• A group w.r.t division C
• A group w.r.t multiplication D

Under multiplication, solution set of is

• Groupoid A
• Abelian group B
• Semi group C
• All of these D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

If #n = (n-5)²+ 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

The set {Z\{0}} is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

Φ set is the _______ of all sets

• Subset A
• Union B
• Universal C
• Intersection D

The sets {1, 2, 4} and {4, 6, 8, 10} are

• Equal sets A
• Equivalent sets B
• Disjoint sets C
• Over lapping sets D

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

Given X, Y are many two sets such that number of elements in X = 18, number of elements in set Y = 24, and number of elements in set X ∪ Y = 40, then number of elements in set X + Y =

• 3 A
• 1 B
• 2 C
• 4 D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

• 
  A
• 
  B
• 
  C
• 
  D

If we have a statement "if p then q" then q is called

• Conclusion A
• Implication B
• Unknown C
• Hypothesis D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

Which conjunction is not true ?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• n(A) A
• n(B) B
• 0 C
• 1 D

Which of the following sets in infinite

• The set of students of your class A
• The set of all schools in Pakistan B
• The set of natural numbers between 3 and 10 C
• The set of rational numbers between 3 and 10 D

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

• 3 A
• 1 B
• 2 C
• 4 D

• A A
• A' B
• U C
• A A' D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D